# MPM1D - Principles of Mathematics, Academic ( 數學原理 )

20 小時

1.0

110 小時

10  週

• 一對一 (一位老師對一位學生)
• 一對四 (一位老師對四位學生)

## Number Sense and Algebra

Overall Expectations
By the end of this course, students will:

1. demonstrate an understanding of the exponent rules of multiplication and division,and apply them to simplify expressions;
2. manipulate numerical and polynomial expressions, and solve first-degree equations.

## Linear Relations

Overall Expectations
By the end of this course, students will:

1. apply data-management techniques to investigate relationships between two variables;
2. demonstrate an understanding of the characteristics of a linear relation;
3. connect various representations of a linear relation.

## Analytic Geometry

Overall Expectations
By the end of this course, students will:

1. determine the relationship between the form of an equation and the shape of its graph with respect to linearity and non-linearity;
2. determine, through investigation,the properties of the slope and y-intercept of a linear relation;
3. solve problems involving linear relations.

## Measurement and Geometry

Overall Expectations
By the end of this course, students will:

1. determine, through investigation, the optimal values of various measurements;
2. solve problems involving the measurements of two-dimensional shapes and the surface areas and volumes of three-dimensional figures;
3. verify, through investigation facilitated by dynamic geometry software, geometric properties and relationships involving two-dimensional shapes, and apply the results to solving problems.